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To solve \( h(5) \), we need to examine the graph and find the value of \( h \) when \( x = 5 \).

1. Locate \( x = 5 \) on the x-axis.
2. Trace the graph upwards to the point where it intersects the line.
3. From that intersection, look at the corresponding \( y \)-value.

From the graph, when \( x = 5 \), the value of \( y \) appears to be 6.

Therefore, \( h(5) = 6 \).

Would you like more details or have any questions about this? Here are 5 related questions for further exploration:

1. What is the slope of the function \( h(x) \) based on the graph?
2. How can we find the equation of the line from the graph?
3. What is the value of \( h(-2) \) using the same graph?
4. How would you calculate the y-intercept of the function from the graph?
5. What would happen to the graph if the slope of the line doubled?

**Tip:** When reading a graph, always check the scaling on both the x- and y-axes to avoid mistakes when interpreting points.

The graph of a function h is shown below. Find h(5).

This problem involves reading a graph of a linear function to find h(5). The graph shows a line where the value of h(5) is found by locating x = 5 and determining the corresponding y-value. The solution explores the concepts of functions, linear equations, and graph interpretation.

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